Results 71 to 80 of about 9,396 (291)

Existence of weak solutions for mixed problems of parabolic systems

open access: yesElectronic Journal of Differential Equations, 2010
The purpose of this paper is to investigate the existence of generalized solutions for strongly parabolic systems in a cylindrical domain. The decay of the solution at infinity, depending on the right-hand of the equation, is also studied in this ...
Pham Trieu Duong, Do Van Loi
doaj  

Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders

open access: yes, 2007
We study the asymptotic behavior at infinity of the solutions of a nonlinear elliptic system posed in a cylinder of infinite length. The problem is written in a variational formulation, where we ask the derivative of the solutions to be in Lp.
Casado-Díaz, Juan
core   +1 more source

Directional Flow of Confined Polaritons in CrSBr

open access: yesAdvanced Materials, EarlyView.
CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak   +10 more
wiley   +1 more source

Uniform decay estimates for finite-energy solutions of semi-linear elliptic inequalities and geometric applications

open access: yes, 2011
We prove uniform decay estimates at infinity for solutions 0⩽u∈Lp of the semilinear elliptic inequality Δu+auσ+bu⩾0, a,b⩾0, σ⩾1, in the presence of a Sobolev inequality (with potential term).
Pigola, Stefano   +3 more
core   +2 more sources

Optimal decay of p-Sobolev extremals on Carnot groups [PDF]

open access: yes, 2019
We determine the sharp asymptotic behavior at infinity of solutions to quasilinear critical problems involving the p-sublaplacian operator Delta(p,G) on a Carnot group G, 1 < p < Q.
Loiudice Annunziata
core   +1 more source

Energy Decay Estimates of the Axially Moving Kirchhoff-type Beam

open access: yes, 2022
International audienceIn this paper, the energy decay rates for the axially moving Kirchhoff-type beams with the nonlinear boundary feedback control are established.
Cheng, Yi, Wu, Yongxin, Wu, Yuhu
core   +1 more source

Mechanically Programmable DNA Hydrogel Microparticles for 3D Cellular Systems

open access: yesAdvanced Materials, EarlyView.
DNA hydrogel microparticles are designed to exhibit controllable viscoelasticity and stiffness across three orders of magnitude from 30Pa$30 \,\mathrm{Pa}$ to 6.5kPa$6.5 \,\mathrm{kPa}$. They are uptaken into fibroblast spheroids where they are actively remodeled by cellular forces depending on their mechanical properties.
Tobias Walther   +9 more
wiley   +1 more source

Energetic Offset in Organic Solar Cells‐ Importance, Confusion and Outlook

open access: yesAdvanced Materials, EarlyView.
Energetic offsets in organic solar cells (OSCs) remain a subject of debate due to measurement‐ and lab‐dependent discrepancies. This Perspective clarifies the physical origins of these variations and identifies temperature‐dependent electro‐optical methods as a reliable approach to obtain consistent offset values.
Nakul Jain   +5 more
wiley   +1 more source

Asymptotic Behavior of the Navier-Stokes Equations with Nonzero Far-Field Velocity

open access: yesAbstract and Applied Analysis, 2011
Concerning the nonstationary Navier-Stokes flow with a nonzero constant velocity at infinity, the temporal stability has been studied by Heywood (1970, 1972) and Masuda (1975) in 𝐿2 space and by Shibata (1999) and Enomoto-Shibata (2005) in 𝐿𝑝 spaces for ...
Jaiok Roh
doaj   +1 more source

Order of Decay of Solutions of Certain Second Order Differential Equations At Infinity

open access: yes, 2007
this paper, an estimate of decay of solutions at infinity is studied. In x1, we prepare some elementary lemmas used in the estimation. In xx2-4, we consider the following type of equation among the equations written as (0.1)
Tetsumi Yoshinaga
core  

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